This channel is for short videos showing how to solve problems in engineering, engineering technology and math. You can get the information you need quickly through worked examples without having to plow through a dense textbook.
Please forgive me if I am wrong, but I don't think the maximum bending moment is always at the point load. I believe it will always lie at some point between the center of the distributed load and where the point load acts.
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Lift/Shear is 157.08, if moment is 66-2/3rds. Else moment is 33.333 if semi-span lift is 78.54. 4/3rds divided by Pi = 0.42441318. The span-wise location of the elliptical lift centroid, as measured from the fuselage side. 1/2 total aircraft lift multiplied by [(4/3)/Pi] is moment for a spemi-span of unity. Multiply by semi-span length outboard the fuselage for bending-moment. And multiply again by spar height...And again by ratio of distance of the area centroid of the spar caps from the outer most fiber of the top spar cap surface. Then divide by maximum allowable material compressive (yield) stress. Again multiplied by load-factor... This is minimum Ix for a spar at this span-wise station. Not accounting for additional spar(s) wing skin, or stiffeners contribution to bending resistance. Or accounting for moment reliving affect of wing weight and weight of fuel or landing gear located outboard of the 4/3rd over Pi span-wise station. Also doesn't account for mass position forward of the aerodynamic center, moment coefficient of wing at Vd, tail down-load, etc...
Thank you for uploading these videos …! I would appreciate if you could explain the last point about why the horizontal rope is not a good idea. My understanding is if the rope is horizontal or almost horizontal it is stronger than the weight it carries especially if the weight is too small and the strength of the rope is way higher than weight it carries.
@03:58 - We English use Metric units now, we tend to refer to the old "Imperial" units as "American" sizes now 🙂. (Thomas Young was English btw). Anyway, great explanation and thanks for posting sir.